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400231000 = 235313171811
BaseRepresentation
bin10111110110110…
…000101001011000
31000220002211201101
4113312300221120
51304424343000
6103414201144
712626623141
oct2766605130
91026084641
10400231000
11195a13524
12b20531b4
1364bc27a0
143b224ac8
152520be6a
hex17db0a58

400231000 has 128 divisors (see below), whose sum is σ = 1068500160. Its totient is φ = 139008000.

The previous prime is 400230997. The next prime is 400231009. The reversal of 400231000 is 132004.

It is a super-2 number, since 2×4002310002 = 320369706722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400231009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220095 + ... + 221905.

Almost surely, 2400231000 is an apocalyptic number.

400231000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534250080).

400231000 is an abundant number, since it is smaller than the sum of its proper divisors (668269160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400231000 is a wasteful number, since it uses less digits than its factorization.

400231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 400231000 is about 20005.7741664750. The cubic root of 400231000 is about 736.9481076463.

Adding to 400231000 its reverse (132004), we get a palindrome (400363004).

The spelling of 400231000 in words is "four hundred million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 500 520 650 680 850 884 1000 1105 1300 1625 1700 1768 1811 2125 2210 2600 3250 3400 3622 4250 4420 5525 6500 7244 8500 8840 9055 11050 13000 14488 17000 18110 22100 23543 27625 30787 36220 44200 45275 47086 55250 61574 72440 90550 94172 110500 117715 123148 153935 181100 188344 221000 226375 235430 246296 307870 362200 400231 452750 470860 588575 615740 769675 800462 905500 941720 1177150 1231480 1539350 1600924 1811000 2001155 2354300 2942875 3078700 3201848 3848375 4002310 4708600 5885750 6157400 7696750 8004620 10005775 11771500 15393500 16009240 20011550 23543000 30787000 40023100 50028875 80046200 100057750 200115500 400231000